Bifurcations of a Nonlinear Small-Body Ocean-Mooring System Excited by Finite-Amplitude Waves
- 1 November 1997
- journal article
- Published by ASME International in Journal of Offshore Mechanics and Arctic Engineering
- Vol. 119 (4), 234-238
- https://doi.org/10.1115/1.2829101
Abstract
We investigate the response of a nonlinear small-body ocean-mooring system excited by finite-amplitude waves. The system is characterized by a coupled geometrically nonlinear restoring force defined by a single elastic tether. The nonlinear hydrodynamic exciting force includes both dissipative and convective terms that are not negligible in a finite wave amplitude environment. Stability of periodic motion is determined numerically and the bifurcation structure includes ultrasubharmonic and quasi-periodic response. The dissipation mechanism is found to control stability thresholds, whereas the convective nonlinearity governs the evolution to chaotic system response.Keywords
This publication has 19 references indexed in Scilit:
- PRESSURE FORCES ON DEFORMABLE BODIES IN NON-UNIFORM INVISCID FLOWSThe Quarterly Journal of Mechanics and Applied Mathematics, 1994
- An empirical study of the stability of periodic motion in the forced spring-pendulumProceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences, 1993
- Forces and Moments on a Small Body Moving in a 3-D Unsteady Flow (With Applications to Slender Structures)Journal of Offshore Mechanics and Arctic Engineering, 1993
- Hydrodynamic force on a moving circular cylinder submerged in a general fluid flowProceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences, 1992
- Bifurcations and Routes to Chaos in Wave-Structure Interaction SystemsJournal of Guidance, Control, and Dynamics, 1992
- Dynamics of a Weakly Nonlinear System Subjected to Combined Parametric and External ExcitationJournal of Applied Mechanics, 1990
- Torus doublings and chaotic amplitude modulations in a two degree-of-freedom resonantly forced mechanical systemInternational Journal of Non-Linear Mechanics, 1990
- A new equation for calculating wave loads on offshore structuresJournal of Fluid Mechanics, 1989
- The Onset of Chaotic Motions of a Moored Semi-SubmersibleJournal of Offshore Mechanics and Arctic Engineering, 1988
- Complex dynamics of compliant off-shore structuresProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1983